What is the answer to 3^{x+9}=5^{3x} ?

The answer to 3^{x+9}=5^{3x} is x=(9ln(3))/(3ln(5)-ln(3))

Solve for x: 3^{x+9}=5^{3x}

The solution is x=(9ln(3))/(3ln(5)-ln(3))

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3^{x + 9} = 5^{3 x}

x = \frac{9 ln ( 3 )}{3 ln ( 5 ) - ln ( 3 )}

Decimal Notation

x = 2.65101 \dots

Solution steps

3^{x + 9} = 5^{3 x}

Apply exponent rules

(x + 9) ln (3) = 3 x ln (5)

Solve

(x + 9) ln (3) = 3 x ln (5) : x = \frac{9 ln ( 3 )}{3 ln ( 5 ) - ln ( 3 )}

x = \frac{9 ln ( 3 )}{3 ln ( 5 ) - ln ( 3 )}

2^{x + 2} = \frac{1}{16}

0 = e^{2 x} + 1

x, e^{3 x} = 1

x, e^{3 x} = 4

8 1^{x} = 273

What is the answer to 3^{x+9}=5^{3x} ?
The answer to 3^{x+9}=5^{3x} is x=(9ln(3))/(3ln(5)-ln(3))
Solve for x: 3^{x+9}=5^{3x}
The solution is x=(9ln(3))/(3ln(5)-ln(3))